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- Question
- The product of two numbers is 192 and the sum of these two numbers is 28. What is the smaller of these two numbers?
Options- A. 16
- B. 14
- C. 12
- D. 18
- Correct Answer
- 12
ExplanationLet the two numbers be x and y .
According to question,
? xy = 192...................... (1)
x + y = 28........................(2)
As we know that,
(x - y)2 = (x + y)2 - 4xy
Put the value of xy and x + y from equation (1) and (2), we will get
(x - y)2 = (28)2 - 4 x 192
? (x - y)2 = 784 - 786
? (x - y)2 = 16
? x - y = 4......................(3)
Add the equation (2) and (3), we will get
x + y + x - y = 28 + 4
2x = 32
x = 16
Put the value of x in equation (2), we will get
16 + y = 26
y = 28 - 16
y = 12
So numbers are x = 16 and y = 12.
Smaller number is 12. - 1. In a 48 ltr mixture, the ratio of milk and water is 5:3. How much water should be added in the mixture so as the ratio will become 3:5 ?
Options- A. 24 lit
- B. 16 lit
- C. 32 lit
- D. 8 lit Discuss
- 2. A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series. IJ, PQ, XY, ?
Options- A. DE
- B. OP
- C. GH
- D. WV Discuss
- 3. Shirt : Garment :: Potato : ____
Options- A. Juice
- B. Onion
- C. Vegetable
- D. Fruit Discuss
- 4. Select the related word/letters/number from the given alternatives. 2 : 16 : : 3 : ?
Options- A. 340
- B. 81
- C. 243
- D. 122 Discuss
- 5. A jar was full with honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of honey in the jar was filled with the sugar solution. The initial amount of honey in the jar was:
Options- A. 1.25 kg
- B. 1 kg
- C. 1.5 kg
- D. None of these Discuss
- 6. A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series. HK, ? , PQ, TT, XW
Options- A. LN
- B. NO
- C. LK
- D. NM Discuss
- 7. Thick : Thin :: Idle : ___
Options- A. Inactivity
- B. Virtuous
- C. Industrious
- D. Business Discuss
- 8. Select the related word/letters/number from the given alternatives. Mughals : History : : Rivers : ?
Options- A. Geography
- B. Physics
- C. Psychology
- D. Biology Discuss
- 9. A man pays Rs. 6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customers is
Options- A. 1 : 10
- B. 10 : 1
- C. 9 : 11
- D. 11 : 9 Discuss
- 10. A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. KlMnO, qRsTu, WxYzA, cDeFg, ?
Options- A. iJkLm
- B. HiJkL
- C. IjKlM
- D. hIjKl Discuss
More questions
Correct Answer: 32 lit
Explanation:
Given mixture = 48 lit
Milk in it = 48 x 5/8 = 30 lit
=> Water in it = 48 - 30 = 18 lit
Let 'L' lit of water is added to make the ratio as 3:5
=> 30/(18+L) = 3/5
=> 150 = 54 + 3L
=> L = 32 lit.
Correct Answer: GH
Correct Answer: Vegetable
Correct Answer: 81
Correct Answer: 1.25 kg
Explanation:
Let the initial amount of honey in the jar was K, then
or
Therefore, K = 1250
Hence initially the honey in the jar= 1.25 kg
Correct Answer: LN
Correct Answer: Industrious
Correct Answer: Geography
Correct Answer: 1 : 10
Explanation:
Customer ratio of Milk and Water is given by
Milk :: Water
6.4 0
=> Milk : Water = 110 : 11 = 10 : 1
Therefore, the proportionate of Water to Milk for Customer is 1 : 10
Correct Answer: IjKlM
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